MHT CET 2021 22th September Evening Shift

Paper was held on
Wed, Sep 22, 2021 8:30 AM

## Chemistry

Ethers when dissolved in cold concentrated sulphuric acid forms

View Question The volume of a gas at $$0^{\circ} \mathrm{C}$$ is $$2 \mathrm{~dm}^3$$. What is its volume if temperature is decreased

View Question The major product obtained in the following reaction is Chlorobenzene + chlorine $$\xrightarrow[\mathrm{FeCl}_3]{\text {

View Question How many moles of urea are present in 5.4 g ? (Molar mass = 60)

View Question Which among the following is a double ring containing nitrogen base present in nucleic acids?

View Question Identify the product '$$\mathrm{B}$$' in the following series of reactions.
$$\text { Propan - 1-ol } \xrightarrow[623 \

View Question Conversion of benzene diazonium chloride to chlorobenzene in presence of $$\mathrm{CuCl} / \mathrm{HCl}$$ is known as

View Question Which among the following compounds in NOT a colourless gas?

View Question Solubility product of $$\mathrm{AgBr}$$ is $$4.9 \times 10^{-13}$$. What is its solubility?

View Question Which element from following is radioactive?

View Question Which among the following statements about $$\left[\mathrm{Ni}(\mathrm{CN})_4\right]^{2-}$$ is $$\underline{\text { NOT

View Question Formation of $$\mathrm{NO}_{2(\mathrm{g})}$$ from $$\mathrm{N}_{2(\mathrm{g})}$$ and $$\mathrm{O}_{2(\mathrm{g})}$$ is a

View Question Identify reducing agent in following reaction
$$\mathrm{H}_2 \mathrm{O}_{2(\mathrm{ag})}+\mathrm{ClO}_{4(\mathrm{aq})}^{

View Question Identify the type of unit cell that has particles at the centre of each face in addition to the particles at eight corne

View Question Identify product '$$\mathrm{B}$$' in following reaction.
Cumene $$\xrightarrow[\Delta]{\mathrm{KMnO}_4, \mathrm{KOH}} \m

View Question Which of the following is NOT a correct mathematical equation for Ostwald dilution law?

View Question How many Faraday of electricity is required to deposit $$0.8 \mathrm{~g}$$ of calcium at cathode by the electrolysis of

View Question Identify lowest positive charge developed (indicated by $$\partial, \partial_1, \partial_2, \partial_3$$) due to inducti

View Question What is rate constant of a first order reaction if 0.08 mole of reactant reduces to 0.02 mole in 23.03 minute?

View Question Which element from following lanthanoids has half-filled $$\mathrm{f}$$- orbital in observed and expected electronic con

View Question How many atoms of niobium are present in $$2.43 \mathrm{~g}$$ if it forms bcc structure with density $$9 \mathrm{~g} \ma

View Question Identify the reagent R used in following conversion.
Glucose $$\mathrm{\buildrel R \over
\longrightarrow}$$ n - hexane

View Question Buna-S is obtained from

View Question 5 g sucrose (molar mass = 342) is dissolved in 100 g of solvent, decreases the freezing point by 2.15 K. What is cryosco

View Question What is Henry's law constant if solubility of a gas in water at $$298 \mathrm{~K}$$ and 1 bar pressure is $$7\times10^{-

View Question A weak monobasic acid is $$10 \%$$ dissociated in $$0.05 \mathrm{~M}$$ solution. What is its percentage dissociation in

View Question What is the conductivity of $$0.02 \mathrm{~M} \mathrm{~KCl}$$ solution if cell constant is $$1.29 \mathrm{~cm}^{-1}$$ w

View Question The major product obtained in the following reaction is

View Question Which of the following statements is NOT true for a reaction having rate law $$\mathrm{r}=\mathrm{k}\left[\mathrm{H}_2\r

View Question Identify the product '$$B$$' in following reaction.
$$2 \mathrm{CH}_3 \mathrm{CHO} \xrightarrow{\text { dil. } \mathrm{N

View Question Identify the correct decreasing order of precipitation power of flocculating ion added, from following.

View Question Identify use of argon from following.

View Question Which of the following is an example of copolymer?

View Question Which of the following is likely to undergo racemization during alkaline hydrolysis?

View Question What is enthalpy of formation of $$\mathrm{NH}_3$$ if bond enthalpies are as $$(\mathrm{N} \equiv \mathrm{N})=941 \mathr

View Question Which of the following alkyl halide is treated with sodium metal to obtain $$2,2,3,3$$ - tetramethyl butane?

View Question Electrical conductance due to all the ions in $$1 \mathrm{~cm}^3$$ of given solution is called as

View Question For the reaction $$\mathrm{N}_{2(\mathrm{~g})}+3 \mathrm{H}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{NH}_{3(\mathrm{~g})}$

View Question Identify the polymer used in making floor tiles.

View Question Which of the following formulae is used to obtain depression in freezing point?

View Question How many tetrahedral voids are present in 0.4 mole of a compound that forms hcp structure?

View Question Pure dihydrogen $$(99.5 \%)$$ is obtained by the electrolysis of

View Question Which among following functional groups exhibits $$-\mathrm{R}$$ effect?

View Question Which among the following compounds has highest melting point?

View Question Identify compound from following having highest basic strength.

View Question Which of the following alkenes on oxidation by $$\mathrm{KMnO}_4$$ in dil. $$\mathrm{H}_2 \mathrm{SO}_4$$ forms adipic a

View Question What is the difference between $$\Delta H$$ and $$\Delta \mathrm{U}$$ for reaction given below at $$298 \mathrm{~K}$$ ?

View Question What is the energy of an electron in stationary state corresponding to $$\mathrm{n}=2$$ ?

View Question Identify the molecule having dipole moment.

View Question Identify homoleptic complex from following.

View Question ## Mathematics

Let
$$\begin{aligned}
f(x) & =x+a \sqrt{2} \sin x & & , 0 \leq x
If $$\mathrm{f}(\mathrm{x})$$ is continuous for $$0 \le

View Question The area of triangle with vertices $$(1,2,0),(1,0, a)$$ and $$(0,3,1)$$ is $$\sqrt{6}$$ sq. units, then the values of '$

View Question If $$A=\left[\begin{array}{cc}5 a & -b \\ 3 & 2\end{array}\right]$$ and $$A$$ adj $$A=A A^T$$, then $$5 a+b=$$

View Question The numbers can be formed using the digits $$1,2,3,4,3,2,1$$ so that odd digits always occupy odd places in __________ w

View Question If $$y=\tan ^{-1} \sqrt{\frac{1+\cos x}{1-\cos x}}$$, then $$\frac{d y}{d x}=$$

View Question Following data shows the information about marks obtained in Physics, Chemistry, Mathematics and Biology by 100 students

View Question If $$\mathrm{G}(4,3,3)$$ is the centroid of the triangle $$\mathrm{ABC}$$ whose vertices are $$\mathrm{A}(\mathrm{a}, 3,

View Question The d.r.s. of the normal to the plane passing through the origin and the line of intersection of the planes $$x+2 y+3 z=

View Question The degree of the differential equation whose solution is $$y^2=8 a(x+a)$$, is

View Question If the sum of slopes of lines represented by $$\mathrm{ax^2+8xy+5y^2=0}$$ is twice their product, then a =

View Question In $$\Delta ABC$$, with usual notations $$\mathrm{\frac{b\sin B-c\sin C}{\sin(B-C)}}=$$

View Question Two circles centred at $$(2,3)$$ and $$(4,5)$$ intersects each other. If their radii are equal, then the equation of the

View Question The function $$f(x)=\frac{\lambda \sin x+6 \cos x}{2 \sin x+3 \cos x}$$ is increasing, if

View Question If $$f(x)=x^2+a x+b$$ has minima at $$x=3$$ whose value is 5 , then the values of $$a$$ and $$b$$ are respectively.

View Question The area bounded by the parabola $$y^2=x$$ and the line $$x+y=2$$ in the first quadrant is

View Question If $$2 \cos \theta=x+\frac{1}{x}$$, then $$2 \cos 3 \theta=$$

View Question For an invertible matrix $$A$$, if $$A(\operatorname{adj} A)=\left[\begin{array}{cc}20 & 0 \\ 0 & 20\end{array}\right]$$

View Question $$\int_\limits{\frac{\pi}{6}}^{\frac{\pi}{2}} \frac{\operatorname{cosec} x \cdot \cot x}{1+\operatorname{cosec}^2 x} d x

View Question A spherical raindrop evaporates at a rate proportional to its surface area. If its radius originally is 3 mm. and 1 hour

View Question The differential equation of all parabolas having vertex at the origin and axis along positive Y-axis is

View Question If the vectors $$2 \hat{i}-\hat{j}-\hat{k} ; \hat{i}+2 \hat{j}-3 \hat{k}$$ and $$3 \hat{i}+\lambda \hat{j}+5 \hat{k}$$ a

View Question $$\lim _\limits{x \rightarrow 2}(x-1)^{ \frac{1}{3 x-6}}=$$

View Question Given $$\mathrm{p}$$ : A man is a judge, $$\mathrm{q}$$ : A man is honest
If $$\mathrm{S} 1$$ : If a man is a judge, the

View Question If $$2 \tan ^{-1}(\cos x)=\tan ^{-1}(2 \operatorname{cosec} x)$$, then the value of $$x$$ is

View Question $$\int \frac{\tan ^4 \sqrt{x} \cdot \sec ^2 \sqrt{x}}{\sqrt{x}} d x=$$

View Question The line $$\frac{x-2}{3}=\frac{y-1}{-5}=\frac{z+2}{2}$$ lies in the plane $$x+3 y-\alpha z+\beta=0$$, then value of $$\a

View Question The statement pattern $$(p \wedge q) \wedge[(p \wedge q) \vee(\sim p \wedge q)]$$ is equivalent to

View Question If the points $$P(4,5, x), Q(3, y, 4)$$ and $$R(5,8,0)$$ are collinear, then the value of $$x+y$$ is

View Question The particular solution of the differential equation $$\frac{d y}{d x}=\frac{y+1}{x^2-x}$$, when $$x=2$$ and $$y=1$$ is

View Question The distribution function $$F(X)$$ of discrete random variable $$X$$ is given by
.tg {border-collapse:collapse;border-

View Question The general solution of $$\frac{d y}{d x}=\frac{x+y}{x-y}$$ is

View Question A line drawn from a point $$A(-2,-2,3)$$ and parallel to the line $$\frac{x}{-2}=\frac{y}{2}=\frac{z}{-1}$$ meets the $$

View Question First bag contains 3 red and 5 black balls and second bag contains 6 red and 4 black balls. A ball is drawn from each ba

View Question If $$A=\left[\begin{array}{ccc}1 & 2 & 1 \\ -1 & 1 & 3\end{array}\right]$$ and $$B=\left[\begin{array}{cc}1 & 2 \\ -3 &

View Question With usual notations, in any $$\triangle A B C$$, if $$a\cos B=b \cos A$$, then the triangle is

View Question A fair coin is tossed 4 times. If $$X$$ is a random variable which indicates number of heads, then $$\mathrm{P}[\mathrm{

View Question If the line joining two points $$\mathrm{A}(2,0)$$ and $$\mathrm{B}(3,1)$$ is rotated about $$\mathrm{A}$$ in anticlockw

View Question The common region of the solution of the inequations $$x+y \geq 5, y \leq 4, x \geq 2, x, y \geq 0$$ is

View Question If the mean and variance of a binomial distribution are 4 and 2 respectively, then probability of getting 2 heads is

View Question The vector equation of the line whose Cartesian equations are $$y=2$$ and $$4 x-3 z+5=0$$ is

View Question If $$x^y \cdot y^x=16$$, then $\frac{d y}{d x}$ at $(2,2)$$ is

View Question $$\int_\limits0^2|2 x-3| d x=$$

View Question $$\int \cos ^{-1} x d x=$$

View Question $$\int \frac{1}{\cos x+\sqrt{3} \sin x} d x=$$

View Question If $$f(x)=[8 x]-3$$, where $$[x]$$ is greatest integer function of $$x$$, then $$f(\pi)=$$ (where $$\pi=3,14$$)

View Question If lines represented by the equation $$\mathrm{px}^2-\mathrm{qy^{2 }}=0$$ are distinct, then

View Question The slant height of a right circular cone is $$3 \mathrm{~cm}$$. The height of the cone for maximum volume is

View Question If $$\omega$$ is the complex cube root of unity, then $$\left(3+5 \omega+3 \omega^2\right)^2+\left(3+3 \omega+5 \omega^2

View Question Let $$a: \sim(p \wedge \sim r) \vee(\sim q \vee s)$$ and $$b:(p \vee s) \leftrightarrow(q \wedge r)$$.
If the truth valu

View Question If $$\int_\limits0^a \sqrt{\frac{a-x}{x}} d x=\frac{k}{2}$$, then $$k=$$

View Question ## Physics

Force is applied to a body of mass $$2 \mathrm{~kg}$$ at rest on a frictionless horizontal surface as shown in the force

View Question Which of the following gates will give an output '1' for the given inputs?

View Question For a common-emitter amplifier, the voltage gain is 40. Its input and output impedances are $$100 \Omega$$ and $$400 \Om

View Question A tuning fork of frequency '$$n$$' is held near the open end of tube which is closed at the other end and the lengths ar

View Question In parallel plate capacitor, electric field between the plates is '$$E$$'. If the charge on the plates is '$$Q$$' then t

View Question A particle with position vector $$\overrightarrow{\mathrm{r}}$$ has a linear momentum $$\overrightarrow{\mathrm{P}}$$. W

View Question A ball rises to the surface of a liquid with constant velocity. The density of the liquid is four times the density of t

View Question A particle having a charge $$100 \mathrm{e}$$ is revolving in a circular path of radius $$0.8 \mathrm{~m}$$ with 1. r.p.

View Question Two satellites of same mass are launched in circular orbits at heights '$$R$$' and '$$2 R$$' above the surface of the ea

View Question The emissive power of sphere of area $$0.04 \mathrm{~m}^2$$ is $$0.7 \mathrm{~k} \mathrm{~cal} \mathrm{~s}^{-1} \mathrm{

View Question In a potentiometer experiment, the balancing length for a cell is $$240 \mathrm{~cm}$$. On shunting the cell with a resi

View Question A sound wave of frequency $$160 \mathrm{~Hz}$$ has a velocity of $$320 \mathrm{~m} / \mathrm{s}$$. When it travels throu

View Question In $$n^{\text {th }}$$ Bohr orbit, the ratio of the kinetic energy of an electron to the total energy of it, is

View Question Two spherical conductors of radii $$4 \mathrm{~cm}$$ and $$5 \mathrm{~cm}$$ are charged to the same potential. If '$$\si

View Question Kirchhoff's current and voltage law are respectively based on the conservation of

View Question A glass tube of $$1 \mathrm{~m}$$ length is filled with water. The water can be drained out slowly from the bottom of th

View Question The rate of flow of heat through a copper rod with temperature difference $$28^{\circ} \mathrm{C}$$ is $$1400 \mathrm{~c

View Question A capacitor of capacity '$$C$$' is charged to a potential '$$V$$'. It is connected in parallel to an inductor of inducta

View Question When a photon enters glass from air, which one of the following quantity does not change?

View Question In Young's double slit experiment using monochromatic light of wavelength '$$\lambda$$', the maximum intensity of light

View Question An electron of mass '$$m$$' and charge '$$q$$' is accelerated from rest in a uniform electric field of strength '$$E$$'.

View Question If the terminal speed of a sphere A [density $$\rho_{\mathrm{A}}=7.5 \mathrm{~kg} \mathrm{~m}^{-3}$$ ] is $$0.4 \mathrm{

View Question A particle connected to the end of a spring executes S.H.M. with period '$$T_1$$'. While the corresponding period for an

View Question The change in internal energy of the mass of a gas, when the volume changes from '$$\mathrm{V}$$' to '$$2 \mathrm{~V}$$'

View Question An object is located on a wall, its image of equal size is to be obtained on a parallel wall with the help of a convex l

View Question A child is standing with folded hands at the centre of the platform rotating about its central axis. The kinetic energy

View Question If the pressure of an ideal gas is decreased by $$10 \%$$ isothermally, then its volume will

View Question The critical angle for light going from medium '$$x$$' to medium '$$Y$$' is $$\theta$$. The speed of light in medium '$$

View Question A needle is $$7 \mathrm{~cm}$$ long. Assuming that the needle is not wetted by water, what is the weight of the needle,

View Question A driver applies the brakes on seeing the red traffic signal $$400 \mathrm{~m}$$ ahead. At the time of applying the brak

View Question An ideal gas having molar mass '$$\mathrm{M}_0$$', has r.m.s. velocity 'V' at temperature 'T'. Then

View Question A step down transformer is used to reduce the main supply from '$$V_1$$' volt to '$$V_2$$' volt. The primary coil draws

View Question For the circuit shown below, instantaneous current through inductor '$$\mathrm{L}$$' and capacitor '$$\mathrm{C}$$' is r

View Question The light of wavelength '$$\lambda$$' is incident on the surface of metal of work function $$\phi$$ and emits the electr

View Question A parallel plate capacitor having plates of radius 6 cm has capacitance 100 pF. It is connected to 230 V a.c. supply wit

View Question At a height 'R' above the earth's surface the gravitational acceleration is (R = radius of earth, g = acceleration due t

View Question Two rings of radius 'R' and 'nR' made of same material have the ratio of moment of inertia about an axis passing through

View Question '$$n$$' waves are produced on a string in 1 second. When the radius of the string is doubled, keeping tension same, the

View Question the magnetic flux (in weber) in a closed circuit of resistance $$20 \Omega$$ varies with time $$t$$ second according to

View Question If '$$E$$' and '$$L$$' denote the magnitude of total energy and angular momentum of revolving electron in $$\mathrm{n}^{

View Question The magnetic field inside a current carrying toroidal solenoid is $$0.2 \mathrm{~mT}$$. What is the magnetic field insid

View Question A body of mass '$$m$$' performs linear S.H.M. given by equation $$x=P \sin \omega t+Q \sin \left(\omega t+\frac{\pi}{2}\

View Question Two particles $$A$$ and $$B$$ having same mass have charge $$+q$$ and $$+4 q$$ respectively. When they are allowed to fa

View Question The relative permeability of iron is 2000. Its absolute permeability in SI unit will be $$\left(\frac{\mu_0}{4 \pi}=10^{

View Question Choose the correct statement. In semiconductors valance band and conduction band

View Question A step down transformer has turns ratio $$20: 1$$. If $$8 \mathrm{~V}$$ is applied across $$0.4 \mathrm{~ohm}$$ secondar

View Question Photons of energy $$10 \mathrm{~eV}$$ are incident on a photosensitive surface of threshold frequency $$2 \times 10^{15}

View Question Two radioactive materials $$X_1$$ and $$X_2$$ have decay constants '$$5 \lambda$$' and '$$\lambda$$' respectively. Initi

View Question If two sources emit light waves of different amplitudes then

View Question An ideal gas at $$27^{\circ} \mathrm{C}$$ is compressed adiabatically to $$(8 / 27)$$ of its original volume. If ratio o

View Question